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Finding the Fourth Proportional to 434,203,430.10, 609,497,233.50 and 434,203,430.10

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Solution

The fourth proportional to 434,203,430.10, 609,497,233.50 and 434,203,430.10 is: 609,497,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,203,430.10 : 609,497,233.50 = 434,203,430.10 : x
  2. Step 2: Convert to fraction form
    434,203,430.10/609,497,233.50 = 434,203,430.10/x
  3. Step 3: Cross multiply
    434,203,430.10x = 609,497,233.50 × 434,203,430.10
  4. Step 4: Simplify right side
    434,203,430.10x = 264,645,789,422,160,640
  5. Step 5: Solve for x
    x = 264,645,789,422,160,640/434,203,430.10
  6. Step 6: Final answer
    x = 609,497,233.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.